Tags

F-BF.3

Overarching
Skill / Cluster:

Build new functions from existing functions.

Standard:

F-BF-3Identify the effect on the graph of replacing
f(x) by f(x) + k, kff(x), f(kx), and f(x + k) for special values of k
(both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an
explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and
algebraic expressions for them.

Key
Vocabulary:

Supporting
Vocabulary:

Even
functions

Odd
functions

Transformations

Translations

Reflections

Parent
function

Learning
Targets:

Identify
the effects of k (positive and negative) on a given function.

f(x) + k

f(x + k)

k f(x)

f(kx)

Find the
value of k given a graph.

Experiment
using technology to illustrate the effects of k on a graph.

Recognize
functions are even or odd fromtheir
algebraic equations (comparing f(x) to f(-x)).

Demonstrators:

On a
graphing calculator, graph the following functions:

Sketch
and label the five graphs listed on the same coordinate plane. Use what you
learned to establish a rule for the graph of